119 LearnersLast updated on May 26th, 2025
1964 in Roman Numerals
Roman numerals are a way of expressing numbers using symbols: I, V, X, L, C, D, and M. Roman numerals are used in royal titles, book names, sequences, and so on. Here we will be discussing Roman numerals, rules, and examples.
What is 1964 in Roman Numerals?
Royal titles, such as Henry I, Henry II, and so on, use Roman numerals. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals.
Earlier people used to count using fingers, sticks, bones, etc., to count. When life became complex, a standard form was required to count. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.
In Roman numerals, we use MCMLXIV to represent 1964. Let's learn more about Roman numerals and how we write them.
Basic Rules for 1964 in Roman Numerals
There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.
Rule 1: Addition Method
The addition method is used when the smaller number is placed after the larger number. For example, VI → V + I → 5 + 1 = 6
Rule 2: Repetition Method
To write a large number, there are certain Roman numerals that can be repeated up to three times. For example, III → 3.
Rule 3: Subtraction Method
If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the large number. For example, IX → X - I → 10 - 1 = 9
Rule 4: Limitation Rule
The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X, and for 8, we write VIII, not IIIIIIII.
How to Write 1964 in Roman Numerals
Let’s now learn how to write 1964 in Roman numerals. Follow these methods to write the number in Roman numerals.
- By Expansion Method
- By Grouping Method
1964 in Roman Numerals by Expansion Method
In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 1964 in Roman numerals using the expansion method. To write 1964 in Roman numerals, follow the steps:
Step 1: Break the number based on the place value. Place value includes ones, tens, hundreds, etc. For 1964, we write it as 1000 + 900 + 60 + 4
Step 2: Converting the numbers into Roman numerals
- 1000 in Roman numerals - M
- 900 in Roman numerals - CM
- 60 in Roman numerals - LX
- 4 in Roman numerals - IV
Step 3: Combining the Roman numerals together. Therefore, 1964 in Roman numerals is M (1000) + CM (900) + LX (60) + IV (4) = MCMLXIV
1964 in Roman Numerals by Grouping Method
When writing a large number into Roman numerals, we group the number. To write 1964 in Roman numerals, we group it as 1000 + 900 + 60 + 4
- 1000 in Roman numerals - M
- 900 in Roman numerals - CM
- 60 in Roman numerals - LX
- 4 in Roman numerals - IV
So, 1964 is written as MCMLXIV in Roman numerals.
Numbers Related to 1964 in Roman Numerals
Roman numerals follow a certain pattern making them look similar. In this section, we will learn some numbers related to the Roman numeral 1964.
| Number | Roman Numeral | Breakdown |
|---|---|---|
| 1960 | MCMLX | 1000 + (1000 - 100) + 50 + 10 = 1960 |
| 1961 | MCMLXI | 1000 + (1000 - 100) + 50 + 10 + 1 = 1961 |
| 1962 | MCMLXII | 1000 + (1000 - 100) + 50 + 10 + 2 = 1962 |
| 1963 | MCMLXIII | 1000 + (1000 - 100) + 50 + 10 + 3 = 1963 |
| 1964 | MCMLXIV | 1000 + (1000 - 100) + 50 + (10 - 1) = 1964 |
| 1965 | MCMLXV | 1000 + (1000 - 100) + 50 + 5 = 1965 |
| 1966 | MCMLXVI | 1000 + (1000 - 100) + 50 + 5 + 1 = 1966 |
| 1967 | MCMLXVII | 1000 + (1000 - 100) + 50 + 5 + 2 = 1967 |
| 1968 | MCMLXVIII | 1000 + (1000 - 100) + 50 + 5 + 3 = 1968 |
| 1969 | MCMLXIX | 1000 + (1000 - 100) + 50 + (10 - 1) = 1969 |
Common Mistakes and How to Avoid Them in 1964 Roman Numerals
Students often make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and the ways to avoid them.
Mistake 1
Errors in Repetition Method
The repetition method can be confusing for beginners as it states that Roman numerals cannot be repeated more than three times. In contrast, some of the Roman numerals such as V, L, and D cannot be repeated.
1964 in Roman Numerals Examples
Problem 1
A historian is organizing artifacts from the year MCMLXIV and needs to classify them into two groups: pre-MCMLX and post-MCMLX. How many years after MCMLX is MCMLXIV?
MCMLXIV is IV years after MCMLX.
Explanation
MCMLX stands for 1960, and MCMLXIV stands for 1964.
The difference between 1964 and 1960 is 4.
Therefore, MCMLXIV is IV years after MCMLX.
Problem 2
If a vintage car from the year MCMLXIV is valued at $20,000 and appreciates by $1,000 each year, what will its value be in the year MCMLXX?
The car's value in MCMLXX will be $26,000.
Explanation
MCMLXIV is 1964, and MCMLXX is 1970.
The difference is 6 years.
Each year, the car appreciates by $1,000, so in 6 years, it will appreciate by $6,000.
Starting at $20,000, the car's value will be $20,000 + $6,000 = $26,000 in MCMLXX.
Problem 3
A collector has a set of coins from the years MCM, MCML, and MCMLXIV. What is the total of these years in Roman numerals?
The total of the years is MMMXCIV.
Explanation
MCM = 1900, MCML = 1950, and MCMLXIV = 1964.
Adding these years: 1900 + 1950 + 1964 = 5814.
In Roman numerals, 5814 is written as MMMXCIV.
Problem 4
A film studio is celebrating the anniversary of a classic movie released in MCMLXIV. If the current year is MMXXIV, how many years have passed since the movie's release?
LX years have passed since the movie's release.
Explanation
MCMLXIV is 1964, and MMXXIV is 2024.
The difference between 2024 and 1964 is 60.
Therefore, LX years have passed since the movie's release.
Problem 5
A library acquired a rare book published in MCMLXIV. If they plan to hold a special exhibition in ten years, what year will that be in Roman numerals?
The exhibition will be held in MMXXIV.
Explanation
MCMLXIV is 1964.
Adding ten years results in 1974.
In ten more years from 1974, the year will be 2024.
The Roman numeral for 2024 is MMXXIV.
FAQs on 1964 in Roman Numerals
1.What is 900 in Roman Numerals?
2.How to write 1964 in Roman Numerals?
3.What is 1965 in Roman Numerals?
4.Is MCMLXIV a prime number?
5.What are the multiples of 1964?
Important Glossaries for 1964 in Roman Numerals
- Addition Rule: The addition method is used when a larger numeral is followed by a smaller one. For example, VI = V + I = 5 + 1 = 6.
- Subtraction Method: Used when a smaller numeral precedes a larger numeral, such as IX = X - I = 10 - 1 = 9.
- Grouping Method: Numbers are grouped based on their place value and converted into Roman numerals. For example, 1964 = 1000 + 900 + 60 + 4 = MCMLXIV.
- Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3.
- Limitation Rule: Symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
